A particle moves along a path described by y=Ax^3 ​​ and x = Bt, where tt is time. What are the units of A and B?

Answers

Answer 1

Answer:

In a nutshell, units of A and B are [tex]\frac{1}{[l]^{2}}[/tex] and [tex]\frac{[l]}{[t]}[/tex], respectively.

Explanation:

From Dimensional Analysis we understand that [tex]x[/tex] and [tex]y[/tex] have length units ([tex][l][/tex]) and [tex]t[/tex] have time units ([tex][t][/tex]). Then, we get that:

[tex][l] = A\cdot [l]^{3}[/tex] (Eq. 1)

[tex][l] = B\cdot [t][/tex] (Eq. 2)

Now we finally clear each constant:

[tex]A = \frac{[l]}{[l]^{3}}[/tex]

[tex]A = \frac{1}{[l]^{2}}[/tex]

[tex]B = \frac{[l]}{[t]}[/tex]

In a nutshell, units of A and B are [tex]\frac{1}{[l]^{2}}[/tex] and [tex]\frac{[l]}{[t]}[/tex], respectively.


Related Questions

A Carnot engine operates with a cold reservoir at a temperature of 455 K and a hot reservoir at a temperature of 619 K. What is the net entropy change (in J/K) as it goes through a complete cycle? Round your answer to the nearest whole number.

Answers

Answer:

Assuming that 4000 J of heat transfer occurs from it the change in entropy will be=2.33j/k

Explanation:

Given data

Th=619 K

Tc= 455K

We are going to assume that 4000 J of heat transfer occurs from it, since it was not specified in the question.

we know that the change in entropy is given as

ΔStotal=ΔShot+ΔScold .

ΔShot=−Q/Th=−4000J/619K=−6.46J/K

For the cold reservoir,

ΔScold=Q/Tc=4000J/455K=8.79J/K

therefore  the total is

ΔStotal=ΔShot+ΔScold

=(−6.46+8.79)J/K

=2.33j/k

Using the standard convention "positive is up", what is the sign of the acceleration of a rock you throw up (a) as it is going up, and (b) as it is coming back down?

Answers

Answer:

(a) Negative

(b) Positive

Explanation:

Here is a question on sign.

(a) When the rock is going up, it is working against gravity. In this case, the acceleration due to gravity will take a negative value. This is because gravity works or acts downwards

(b) When the rock is coming down, it is actually working with gravity. So in this case, the sign will ne positive

You are studying circular motion by placing pennies on a turntable and then turning it on so that it will spin. You keep increasing the speed until one of the pennies slips off. You repeat this procedure and observe that the penny close to the outer edge always slip off first. What is the best inference?

1.The penny near the edge has a greater tangential velocity than the one in the center, so it experiences more air resistance. It’s the effect of the air “blowing” it off.

2.The centripetal force required to keep the pennies in place increases with the distance from the center. Eventually, as the turntable spins faster, the friction force between the turntable and the penny near the edge is not enough to supply the required centripetal force.

3.The centrifugal force acting on the pennies is stronger on the one near the edge than the one near the center.

Answers

Answer:

2.The centripetal force required to keep the pennies in place increases with the distance from the center. Eventually, as the turntable spins faster, the friction force between the turntable and the penny near the edge is not enough to supply the required centripetal force.

Explanation:

centripetal force = m ω² R

here m is mass , ω is angular velocity and R is distance of penny from centre

So this force depends upon R

penny on the outer edge will require  greater centripetal force to move in circular path .

The centripetal force will be provided by frictional force of table which is same for both the coin . Hence the penny on the outer edge will slip off first the moment , frictional force reach its maximum value for it . But it will be sufficient to keep in balance the penny nearer to the centre .

If 2000 kg cannon fires 2 kg projectile having muzzle velocity 200 m/s than the recoil speed of the cannon will be *

A. 0.2 m/s
B. 2 m/s
C. 4 m/s
D. 10 m/s

Answers

Answer:

D. 10 m/s

Explanation:

What measurement do geologist use to find the absolute age of once living things

Answers

Answer:

Radiocarbon dating

Explanation:

Radiocarbon dating if it’s not search it on google I’m sure you can find more answers for your questions

A 495-kg dragster accelerates from rest to a final speed of 105 m/s in 395 m, during which it encounters an average frictional force of 1400 N. show answer No Attempt 50% Part (a) What is its average power output of the dragster, in watts, if this takes 8.2 s

Answers

Answer:

Explanation:

According to energy conservation which states that the workdone is equal to change in the system

Workdone = change in kinetic energy + (frictional force * distance)

Workdone = ΔK + fd

Workdone = kf-Ki + fd

Workdone = = 1/2(m(v-u)^2) + fd

Given

Mass m = 495kg

final velocity v = 105m/s

initial velocity = 0m/s

Force f= 1400N

distance d = 395m

Substitute

Workdone = 1/2(495(105-0)^2) + 1400(395)

Workdone = 2,728,687.5+553000

Workdone = 3,281,687.5 Joules

Time = 8.2secs

Power output = Workdone/Time

Power output = 3,281,687.5/8.2

Power output = 885,766.768

Power output = 8.858 * 10^5 watts

Question #4
4. Anthony walks to the pizza place for lunch. He walk 4 km
east, he realized he passed it and then walked 1 km west.
What distance did he cover? What was his displacement?

Answers

Answer:

Distance 5 km, Displacement 3 km east

Explanation:

The distance covered by Anthony is 5 km, while his displacement is 3 km.

Distance and displacement:

The distance is defined as the total length of space covered during motion between the starting point and end point, not necessarily a straight line. Whereas displacement is defined as the minimum distance between two points in space, that is a straight line.

Suppose, if you start from one point and walk for 100 meters then come back at the same point that you started your walk, you would have traveled 2 times 100 meters that is 200 meters. But your displacement will be zero because your starting point and the end point are the same.

The given question clarifies the difference between distance and displacement:

Since Anthony walks 4 km east and then walks 1 km west, the distance covered by him is:

distance = 4 + 1 = 5 km

but as he walks west, he comes closer to the starting point, and his displacement is the distance between the starting point and the end point.

displacement = 4 - 1 = 3 km

Referto the figure below for more information.

Learn more about distance and displacement:

https://brainly.com/question/24522401?referrer=searchResults

Goal posts at the ends of football fields are padded as a
safety measure for players who might run into them. How
does thick padding around the goal post reduce injuries
to players?

It would be awesome if you could use a sample response

Answers

Goal posts at the end of football field are padded as a safety measure to players who might run into them,these thick paddings of the goal posts are done to prevent injuries to the players because the padding of the goal post increases the time of impact and this in-turn decreases the force on the the players body or the force it will have when a player's body hit against it and therefore decreasing the force applied to bring the player to a stop.

We can also say that it increases the time of collision between the player's body and the post.

Match the variables with its corresponding unit​

Answers

Answer:

1. s

2. m

3. start m/s

4. end m/s

5. m/s^2

Explanation:

1. t is the suffix for the time and it is related to seconds [s]

2. d is the suffix for distance and it is related to meters [m]

3. Vi  is the suffix for the initial velocity and it is related to meters per second [m/s]

4. Vf  is the suffix for the final velocity and it is related to meters per second [m/s]

5. a  is the suffix for the acceleration and it is related to meters per squared second [m/s^2]

The higher something is off the ground, the more
potential energy it has.
True
False

Answers

False is the answer i think

An elephant pushes with 2000 N on a load of trees. It then
pushes these trees for 150 m. How much work did the
elephant do?

Answers

Answer:

13.3

Explanation

work= force/area

2000/150

Answer 13.3 Work=force/area 2000 /150

a simple machine makes our work easier and faster. why?​

Answers

Answer:

simple machines such as ramps lessen the moment required to do work. if a triangle has a base of 5 and the height  is 7, a ramp would make the hypotenuse of this triangle lessoning the total distance. using a²+b²=c² 25+49=c² 74≈8.6 and it is obvious that 8.6 is less than 12 in every unit. other simple machines such as pulleys make it lighter making it simply easier for an object to be lifted.

Explanation:

Answer:

Simple machines are useful because they reduce effort or extend the ability of people to perform tasks beyond their normal capabilities. Simple machines that are widely used are the wheel and axle, pulley, inclined plane, screw, wedge and lever.

You release a ball from rest at the top of a ramp. 6 s later it is moving at 4.0
m/s. What is the acceleration? (in meters per second squared) *
Your answer

Answers

[tex]a = \frac{vf - vi}{t} [/tex]

here initial velocity vi=0 as ball release from rest

the final velocity is vf=4.0

time is t=6

so putting all these values in above equation

[tex]a = \frac{ 4.0- 0}{6} [/tex]

[tex]a = 0.6667m \s {}^{2} [/tex]

5 Which has the greatest average speed?
A. a boat sailing 80 km in 2 hours
B. a car driving 90 km in 3 hours
c. a train traveling 120 km in 3 hours
D. a truck moving 50 km in 1 hour

Answers

a train cuz its 120km in 3 hours

What is the relation between the weight of a body and acceleration due to gravity? ​

Answers

Answer:

The weight W, or gravitational force, is then just the mass of an object times the gravitational acceleration. Since the gravitational constant (g) depends on the square of the distance from the center of the earth, the weight of an object decreases with altitude.

Explanation:

please mark as brainlist

Activity Problem 8.3 This problem asks you to compare the finite current element approximation to the infinite straight wire approximation for the isolated segment of wire carrying current of 2A to the right. The wire is 8cm long. Note, the finite current approximation will be a fairly poor approximation to the actual field which would be found by integration; the infinite wire field is a better approximation in this case. (a)Compute the magnetic field at point C a distance 2cm for the center of the wire using the infinite straight wire approximation. (b)Compute the magnetic field at point C using the finite current element approximation. (c)Compute the magnetic field at point E a distance 2cm from the end using the finite current element approximation.

Answers

Answer: (a) B = 2 x 10⁻⁵T

               (b) B = 1.94 x 10⁻⁵T

               (c) B = 1.8 x 10⁻⁴T

Explanation: A magnetic field due to a current passing through a straight wire is calculated using the Biot-Savart Law:

[tex]dB=\frac{\mu_{0}}{4.\pi} \frac{IdLXR}{r^{3}}[/tex]

where

dL is current length element

[tex]\mu_{0}[/tex] is permeability of free space ([tex]4.\pi.10^{-7}[/tex]T.m/A)

(a) For a infinite straight wire:

[tex]B=\frac{\mu_{0}I}{2.\pi.R}[/tex]

[tex]B=\frac{4.\pi.10^{-7}.2}{2.\pi.2.10^{-2}}[/tex]

B = 2x10⁻⁵T

For an infinite, long and straight wire, magnetic field is 2x10⁻⁵T.

(b) For a finite wire:

[tex]B=\frac{\mu_{0}I}{2.\pi.R}\frac{L}{\sqrt{L^{2}+R^{2}} }[/tex]

[tex]B=\frac{4.\pi.10^{-7}.2}{2.\pi.2.10^{-2}} \frac{8.10^{-2}}{\sqrt{(8.10^{-2})^{2}+(2.10^{-2})^{2}} }[/tex]

B = 1.94x10⁻⁵T

The magnetic field for a finite wire in the same conditionsas infinite wire is 1.94x10⁻⁵T.

(c) For a finite wire at a point distant from the end of the wire:

[tex]B=\frac{\mu_{0}I}{4.\pi.L\sqrt{2} }[/tex]

[tex]B=\frac{4.\pi.10^{-7}.2}{4.\pi.8.10^{-2}\sqrt{2} }[/tex]

B = 0.18x10⁻⁵T

At a point at the end, magnetic field is 1.8x10⁻⁴T.

How can you tell if hair was forcibly removed?

Answers

Answer:Explanation:

A microscopic hair examination can also determine if a hair was forcibly removed, artificially treated or diseased. A comparison microscope can be used to compare a questioned hair to a known hair sample in order to determine if the hairs are similar and if they could have come from a common source.

A dragster race car can accelerate from rest to incredible speeds. In one case a dragster is able to finish the 305 m run in 3.64 s. What was the average acceleration during this run?

Answers

Answer:

45.89m/s²

Explanation:

Given

Distance S = 305m

Time t = 3.64s

To get the acceleration during this run, we will apply the equation of motion:

S = ut+1/2at²

Substitute the given parameters into the formula and calculate the value of a

305 = 0+1/2 a(3.64)²

304 = 1/2(13.2496)a

304 = 6.6248a

a = 304/6.6248

a = 45.89m/s²

Hence the average acceleration during this run is 45.89m/s²

which energy is primarily responsible for phenomena such as movement of large plates and volcanoes? ​

Answers

Answer:

It should be geothermal energy

Colored lights are called additive colors. Why do you think this is so?

Answers

It is called additive because all of the wavelengths still reach our eyes. It is the combination of different wavelengths that creates the diversity of colors. Subtractive color mixing is creating a new color by the removal of wavelengths from a light with a broad spectrum of wavelengths.

What is the resultant velocity of a plane that is traveling at 245 m/s North and encounters a tailwind of 55 m/s North?

Answers

Answer:

b

Explanation:

1. What are the two (2) classes of matter?
A. Atom and molecule
B. Element and compound
C. Plant and animal cells
D. Substance and mixture
2. Which is true regarding water?
A. Compound of element
B. Element of gases
C. Mixture of
gases
D. Substances of gases
3. What is the difference between a substance and a mixture?
A. Substance can be separated while mixture cannot be separated.
B. Substance has many components while mixture has one only.
C. Substance is heterogeneous while mixture is homogeneous.
D. Substance is pure while mixture is impure.

Answers

Answer:

substance and mixture

8. What is the mass of an object if a force of 34 N produces an acceleration of 4 m/s/s?
F = 34 N
F
34
m-
m-
m = 8.5 kg
a
4
a - 4 m/s

Answers

Answer:

The answer is 8.5 kg

Explanation:

The mass of the object can be found by using the formula

[tex]m = \frac{f}{a} \\ [/tex]

where

f is the force

a is the acceleration

So we have

[tex]m = \frac{34}{4} = \frac{17}{2} \\ [/tex]

We have the final answer as

8.5 kg

Hope this helps you

If a sound with frequency fs is produced by a source traveling along a line with speed vs. If an observer is traveling with speed vo along the same line from the opposite direction toward the source, then the frequency of the sound heard by the observer is fo = c + vo c − vs fs where c is the speed of sound, about 332 m/s. (This is the Doppler effect.) Suppose that, at a particular moment, you are in a train traveling at 45 m/s and accelerating at 1.1 m/s2. A train is approaching you from the opposite direction on the other track at 46 m/s, accelerating at 1.6 m/s2, and sounds its whistle, which has a frequency of 459 Hz. At that instant, what is the perceived frequency that you hear? (Round your answer to one decimal place.) Hz How fast is it changing? (Round your answer to two decimal places.) Hz/s

Answers

Answer:

457.81 Hz

Explanation:

From the question, it is stated that it is a question under Doppler effect.

As a result, we use this form

fo = (c + vo) / (c - vs) × fs

fo = observed frequency by observer =?

c = speed of sound = 332 m/s

vo = velocity of observer relative to source = 45 m/s

vs = velocity of source relative to observer = - 46 m/s ( it is taking a negative sign because the velocity of the source is in opposite direction to the observer).

fs = frequency of sound wave by source = 459 Hz

By substituting the the values to the equation, we have

fo = (332 + 45) / (332 - (-46)) × 459

fo = (377/ 332 + 46) × 459

fo = (377/ 378) × 459

fo = 0.9974 × 459

fo = 457.81 Hz

What do all elements in a column in the periodic table have in common? (2 points)
Oa
Their atoms have the same number of valence electrons.
Ob
Their atoms have the same atomic mass.
Their atoms have the same number of protons and electrons.
Od
Their atoms have the same number of neutrons.

Answers

Answer:

You mean in periods.

They have the same number of elctron shells.

But if they are in the same group then they have the sane number oifValence electrons.

Explanation:

Suppose you are standing on a scale in an elevator that is accelerating upward. Will the scale read your weight as larger for smaller than the weight it reads when you are stationary?

Answers

Answer:

following are the solution to this question:

Explanation:

When I stand at such a scale in an elevated that's already rising upwards, its scale would appear to also be 0 because of free fall and would often reveal that weight whenever the lift is stable.  

In this, the free fall is also known as the object, that is influenced exclusively by gravity, and an object operating only through the influence of gravity is said to be in a free-fall state.

What is psychoanalysis

Answers

Psychoanalysis is defined as a set of psychological theories and therapeutic techniques.The core of psychoanalysis is the belief that all people possess unconscious thoughts, feelings, desires, and memories and is used to treat depression and anxiety disorders

how much ume does it take to use 300 W of power to do 1800 J of Work?

Answers

Answer:

P=300 W

W=1800 J

P=W/t

t=W/P

t=6 s

The elements in Groups 3 through 12 of the periodic table are the ______.

Answers

Answer:

Transition Metals

Explanation:

__________________________

How long would it take to travel 50 km traveling at a speed of 10 km/hr

Answers

Answer:

it would take 5 hours

Explanation:

plz vote this up i promise its correct

Other Questions
identify the element in the following period and group period 2 and group 17 what parts do of the report did the spaniards focus on 1. The Better Business Council of a large city has concluded that students in the city's schools are not learningenough about economics to function in the modern world. These findings were based on test results from arandom sample of 20 twelfth-grade students who completed a 46-question multiple-choice test on basiceconomic concepts. The data set below shows the number of questions that each of the 20 students in thesample answered correctly.12 16 18 17 18 33 41 44 38 351936 19 13 43 8 16 14 10 9(a) Display these data in a stemplot.(b) Use your stemplot from part (a) to describe the main features of this score distribution.(c) Why would it be misleading to report only a measure of center for this score distribution? What are the subunits (monomers) of DNA and their function? O Monosaccharides that provide quick energy for the cell. O Lipids that store energy and provide insulation. O Proteins that provide the building blocks for the structures of organisms. O Nucleotides that store information. Miguel added 150 grams of baking soda to a liter of water at 20 C. No matter how long he keeps stirring the solution, he cant get all of the baking soda to dissolve. Explain why. What is a rift valley?Where continental plates collide and form rifts of folded mountains in the crustWhere the ocean floor appears to be splitting and magma is rising from the mantleWhere a continental plate collides with an ocean plate to form a subduction zoneWhere two ocean plates collide forming a subduction zone Tristan and two of his friends purchased tickets to a school play. Tristan paid for all the tickets with a $50.00 bill and received $23.00 in change. If Tristan used a coupon for 25% off, what was the original price for one ticket? Exercise can lower levels of estrogen in the blood.TrueFalse 8. What is the result of (11x + 18i)(117 - 18i)? could anyone give a simple answer? sorry if im asking so many questions, im just confused. Which table of ordered pairs represents a proportional relationship? A 2-column table with 3 rows. Column 1 is labeled x with entries negative 3, negative 4, negative 5. Column 2 is labeled y with entries 3, 2, 1. A 2-column table with 3 rows. Column 1 is labeled x with entries negative 1, negative 3, negative 5. Column 2 is labeled y with entries 1, 3, 5. A 2-column table with 3 rows. Column 1 is labeled x with entries negative 2, negative 4, negative 6. Column 2 is labeled y with entries negative 5, negative 7, negative 9. A 2-column table with 3 rows. Column 1 is labeled x with entries negative 2, negative 3, negative 4. Column 2 is labeled y with entries 0, negative 1, negative 2. Jonathans parents told him that for 5 every hours of homework or reading he completes, he would be able to play3 hours of video games. His friend Lucass parents told their son that he could play 30 minutes for every hour ofhomework or reading time he completes. If both boys spend the same amount of time on homework and readingthis week, which boy gets more time playing video games? How do you know? Please elaborate on the journey the water molecules of the Aral Sea, starting at the lake, to show how the water cycle allows for this body of water to exist in the middle of a desert.(its basically like explaining the water cycle with definitions and explanations) Pitkins Company collects 20% of a month's sales in the month of sale, 70% in the month following sale, and 6% in the second month following sale. The remainder is uncollectible. Budgeted sales for the next four months are: Cash collections in April are budgeted to be:January February March April$200,000 $300,000 $350,000 $250,000Required:What are the budgeted Cash collections for April? In which scenario will the two objects have the greatest gravitational forcebetween them?A. Mass of object 1 = 15 kgMass of object 2 = 12 kgDistance between objects = 0.5 mB. Mass of object 1 = 15 kgMass of object 2 = 12 kgDistance between objects = 1.5 mC. Mass of object 1 = 12 kgMass of object 2 = 12 kgDistance between objects = 0.5 mhO D. Mass of object 1 = 12 kgMass of object 2 = 12 kgDistance between objects = 1.5 m What is the maximum amount of water (in grams) that can be removed from 15ml of toluene by the addition? Samantha estimates the product of 925 x 38 as 36,000. Without computing the exact answer, is her estimate reasonable? Explain Please help ASAP necesito ayuda. ya lei el cuento del elefante dumbo. You take a cab to a restaurant. The final bill of $31.72 included an 18% tip for the driver. What was the original bill? Compare and contrast the roles that crews of spotter planes and helicopters play in fighting wildfires. Bees, which are known for aiding in pollination, help with which process?A. enabling pollen to grow fruit to encase the sperm and eggB. enabling pollen to grow a tube to transfer sperm to the eggC.transferring pollen from the anther to the pistilD. transferring pollen from the ovule to the ovaryPlease hurry and answer for me plz!